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Finding the Fourth Proportional to 298.20, 412.32 and 293.55

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Solution

The fourth proportional to 298.20, 412.32 and 293.55 is: 405.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.20 : 412.32 = 293.55 : x
  2. Step 2: Convert to fraction form
    298.20/412.32 = 293.55/x
  3. Step 3: Cross multiply
    298.20x = 412.32 × 293.55
  4. Step 4: Simplify right side
    298.20x = 121,036.54
  5. Step 5: Solve for x
    x = 121,036.54/298.20
  6. Step 6: Final answer
    x = 405.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.